If a, b and care non-coplanar vectors, prove that the four points 2a+3b-c, a-2b+3c -> 3g+4b-2c and a-6b+6c are coplanar. ->>

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Q: mine the (smaller) angle between the two ve Sa - 7a +4a 0 r Ф 2a + a - 3a 0 1 Ф

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Q: The cross product of two vectors u=(2, -3, 1) and v=(0, − 1, 2) is 5. O True O False

A: Here is the solution:

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A: To find the value of a, you can use the properties of vector addition.Given that the sum of the…

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Q: Let a = (2,3,6) and b = (3,4,2) be vectors.  Compute the cross product aXb

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Q: 7. Let f(t) be a smooth curve such that f'(t) #0 for all t. Then we can define the unit tangent…

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Q: Construct a vector that is perpendicular to the plane containing (−2, 4, 1),(3, 3, -1) and (1, 0,…

A: Construct a vector that is perpendicular to the plane containing (-2,4,1),(3,3,-1) and (1,0,2)

Q: Let a = (7, 10, 1) and b = (10, 3, 6) be vectors. Compute the cross product %3D ахЬ.

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Q: If the cross product of two nonzero vectors is the zero vector, then each of the two vectors is a…

A: Explanation of the answer is as follows

Q: Let Is w a linear combination of the vectors V₁, V₂ and 3? choose 13 -14 -4 --[H], -- [5] -- [13] D…

A: Given that the vectors w=-146 , v1=5-4 ,  v2=-4-3 ,  v3=11 .

Q: find a vector that is orthogonal to (1,2,3) and (4,5,6). do not use cross product.

A: Let's find vector that is orthogonal to given two vectors.

Q: 5) Find a vector in component form that is orthogonal to the vectors a = (9,3,-7) and b = (10,-8,2)

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Q: Show that the column vectors (1,1,2,4),(2,-1,-5.2) (1,-1,-4,0) and (2,1,1,6) vectors in R are…

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Q: Q3/A/ If ā = i – 2j + k , Find: i) (ā x b). (ā x c) ii) (ā × 5) × (ā x c) tho vectors 2i - i+ 2k and…

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Q: Find the components of the vector - 4c based on the vector shown.

A: The magnitude of the vector in x direction is represented by i component. The magnitude of the…

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A: We have to prove that the given Column vectors are linearly dependent in R4.

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Q: Suppose and are vectors such that a × b =(3, 1, 4). What is the cross product of twice of a with…

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Q: Explain the Combination of basis vectors.

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